212743312507440 has 3200 divisors, whose sum is σ = 975826743091200. Its totient is φ = 42138206208000.

The previous prime is 212743312507381. The next prime is 212743312507499. The reversal of 212743312507440 is 44705213347212.

It is a happy number.

212743312507440 is a `hidden beast` number, since 2 + 1 + 2 + 74 + 3 + 31 + 2 + 507 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (212743312507381) and next prime (212743312507499).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 15827931120 + ... + 15827944560.

It is an arithmetic number, because the mean of its divisors is an integer number (304945857216).

Almost surely, 2^{212743312507440} is an apocalyptic number.

212743312507440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212743312507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487913371545600).

212743312507440 is an abundant number, since it is smaller than the sum of its proper divisors (763083430583760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212743312507440 is a wasteful number, since it uses less digits than its factorization.

212743312507440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13569 (or 13554 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 212743312507440 in words is "two hundred twelve trillion, seven hundred forty-three billion, three hundred twelve million, five hundred seven thousand, four hundred forty".